Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2006-12-19
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 6 figures
Scientific paper
The dynamics of particles interacting by key-lock binding of attached biomolecules are studied theoretically. Examples of such systems include DNA-functionalized colloids as well as nanoparticles grafted with antibodies to cell membrane proteins. Depending on the coverage of the functional groups, we predict two distinct regimes separated by a percolation transition. In the localized regime at low coverage, the system exhibits a broad, power law like distribution of particle departure times. At higher coverage, there is an interplay between departure dynamics and particle diffusion. This interplay leads to a sharp increase of the departure times, a phenomenon qualitatively similar to aging in glassy systems. This diffusive regime is analogous to dispersive transport in disordered semiconductors: depending on the interaction parameters, the diffusion behavior ranges from standard diffusion to anomalous, subdiffusive behavior. The connection to recent experiments and implications for future studies are discussed.
Licata Nicholas A.
Tkachenko Alexei V.
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